6x^2+13x-169=0

Simple and best practice solution for 6x^2+13x-169=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 6x^2+13x-169=0 equation: 


Simplifying
6x2 + 13x + -169 = 0

Reorder the terms:
-169 + 13x + 6x2 = 0

Solving
-169 + 13x + 6x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-13 + -2x)(13 + -3x) = 0


Subproblem 1
Set the factor '(-13 + -2x)' equal to zero and attempt to solve:

Simplifying
-13 + -2x = 0

Solving
-13 + -2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '13' to each side of the equation.
-13 + 13 + -2x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -2x = 0 + 13
-2x = 0 + 13

Combine like terms: 0 + 13 = 13
-2x = 13

Divide each side by '-2'.
x = -6.5

Simplifying
x = -6.5

Subproblem 2
Set the factor '(13 + -3x)' equal to zero and attempt to solve:

Simplifying
13 + -3x = 0

Solving
13 + -3x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-13' to each side of the equation.
13 + -13 + -3x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -3x = 0 + -13
-3x = 0 + -13

Combine like terms: 0 + -13 = -13
-3x = -13

Divide each side by '-3'.
x = 4.333333333

Simplifying
x = 4.333333333
Solution
x = {-6.5, 4.333333333}

See similar equations:

| 5(3c-1)-6=12c+7 | | 1=2+n | | -85=-17m | | -34-(-28)=×/4 | | h=-16t^2+120t+6 | | 4B+3B-1=27 | | x-2=2+x-x | | (2x-3)(x+8)=126 | | 0.10n+0.05(2n)+0.25(n-3)=4.5 | | 42-12=5(x-7) | | 12=-4(-6v-3) | | 19=v/15= | | 2n-1+3n+4= | | 0.10n+0.05(2n)+0.25(n-3)=11.10 | | -16+y=-6y | | -3=×/5 | | 18x^6y^2-12x^5y^4=0 | | -9=n+1 | | 2=4+3n-5n | | 2X^2-10X+0=0 | | 4t^2-13t-75=0 | | 15x^7y^3-20x^5y^4=0 | | x^3-4x^2+4x=f(x) | | f(-6)=3x^2 | | 3a(4b-7)= | | 4(x+5)=6x+19-2x+1 | | 10x^3y^4-15x^5y^3=0 | | 40x^5y^4-10x^7y^3=0 | | 25a^3b^4-15a^5b^3=0 | | y=0.50(-3)+5.00 | | 4/(x-2)-2/(x)=14/(x^2-2x) | | 6x^2-y^2=12 |

Equations solver categories